Random motion with gamma-distributed alternating velocities in biological modeling - Mathematics > ProbabilityReport as inadecuate




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Abstract: Motivated by applications in mathematical biology concerning randomlyalternating motion of micro-organisms, we analyze a generalized integratedtelegraph process. The random times between consecutive velocity reversals aregamma-distributed, and perform an alternating renewal process. We obtain theprobability law and the mean of the process.



Author: Antonio Di Crescenzo, Barbara Martinucci

Source: https://arxiv.org/







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